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Finding the Fourth Proportional to 201,084.27, 301,626.27 and 51,324.59

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Solution

The fourth proportional to 201,084.27, 301,626.27 and 51,324.59 is: 76,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.27 : 301,626.27 = 51,324.59 : x
  2. Step 2: Convert to fraction form
    201,084.27/301,626.27 = 51,324.59/x
  3. Step 3: Cross multiply
    201,084.27x = 301,626.27 × 51,324.59
  4. Step 4: Simplify right side
    201,084.27x = 15,480,843,132.85
  5. Step 5: Solve for x
    x = 15,480,843,132.85/201,084.27
  6. Step 6: Final answer
    x = 76,986.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.